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4.3-2 In an amplitude modulation system, the message signal is given by Fig. P4.3-1 and the carrier frequency is 1 kHz. The modulator output is sAM(t) = 2[b + 0.5 m(t)]cos⁡ωct (a) Determine the average power in sAM(t) as a function of b and A. (b) If b = A, determine the modulation index and the modulation power efficiency. (c) Find the minimum value of b such that the AM signal can still be demodulated via envelope detection. Determine maximum modulation index and maximum modulation power efficiency based on the resulting b.

4.3-2 In an amplitude modulation system, the message signal is given by Fig. P4.3-1 and the carrier frequency is 1 kHz. The modulator output is sAM(t) = 2[b + 0.5 m(t)]cos⁡ωct (a) Determine the average power in sAM(t) as a function of b and A. (b) If b = A, determine the modulation index and the modulation power efficiency. (c) Find the minimum value of b such that the AM signal can still be demodulated via envelope detection. Determine maximum modulation index and maximum modulation power efficiency based on the resulting b.

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4.3-2 In an amplitude modulation system, the message signal is given by Fig. P4.3-1 and the carrier frequency is 1 k H z . The modulator output is
s A M ( t ) = 2 [ b + 0.5 m ( t ) ] cos ⁡ ω c t
(a) Determine the average power in s A M ( t ) as a function of b and A . (b) If b = A , determine the modulation index and the modulation power efficiency. (c) Find the minimum value of b such that the AM signal can still be demodulated via envelope detection. Determine maximum modulation index and maximum modulation power efficiency based on the resulting b .

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